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Who Can Solve This Maths? / Great Mathematicians Help Me Solve This Maths Please / Let's Solve (2) (3) (4)
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Let's Solve This Maths by gale2626: 4:42pm On Dec 29, 2021 |
I'm pleading with mathematicians here, pls help me solve this linear algebra: A square matrix A is said to be idempotent if A2 = A. Let A be an idempotent matrix. (a) Show that I − A is also idempotent. (b) Show that if A is invertible, then A = I. (c) Show that the only possible eigenvalues of A are 0 and 1. (Hint: Suppose x is an eigenvector with associated eigenvalue λ and then multiply x on the left by A twice.) |
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